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Finding the Third Proportional to 37,193 and 80,948

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Solution

The third proportional to 37,193 and 80,948 is: 176,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,193 : 80,948 = 80,948 : x
  2. Step 2: Convert to fraction form
    37,193/80,948 = 80,948/x
  3. Step 3: Cross multiply
    37,193x = 80,948 × 80,948
  4. Step 4: Simplify right side
    37,193x = 6,552,578,704
  5. Step 5: Solve for x
    x = 6,552,578,704/37,193
  6. Step 6: Final answer
    x = 176,177.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.